A Modal-Logic Based Graph Abstraction

J. Bauer; I.B. Boneva; M.E. Kurban; Arend Rensink

doi:10.1007/978-3-540-87405-8_22

A Modal-Logic Based Graph Abstraction

J. Bauer, I.B. Boneva, M.E. Kurban, Arend Rensink

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

15 Citations (Scopus)

Abstract

Infinite or very large state spaces often prohibit the successful verification of graph transformation systems. Abstract graph transformation is an approach that tackles this problem by abstracting graphs to abstract graphs of bounded size and by lifting application of productions to abstract graphs. In this work, we present a new framework of abstractions unifying and generalising existing takes on abstract graph transformation. The precision of the abstraction can be adjusted according to the properties to be verified facilitating abstraction refinement. We present a modal logic defined on graphs, which is preserved and reflected by our abstractions. Finally, we demonstrate the usability of the framework by verifying a graph transformation model of a firewall.

Original language	Undefined
Title of host publication	International Conference on Graph Transformations (ICGT)
Editors	H Ehrig, R. Heckel, G. Rozenberg, G. Taentzer
Place of Publication	Berlin
Publisher	Springer
Pages	321-335
Number of pages	15
ISBN (Print)	978-3-540-87404-1
DOIs	https://doi.org/10.1007/978-3-540-87405-8_22
Publication status	Published - 2008

Publication series

Name	Lecture Notes in Computer Science
Publisher	Springer Verlag
Number	Supplement
Volume	5214
ISSN (Print)	0302-9743
ISSN (Electronic)	1611-3349

Keywords

IR-62461
METIS-251183
EWI-13439

Access to Document

10.1007/978-3-540-87405-8_22

http://eprints.eemcs.utwente.nl/secure2/13439/01/fulltext.pdf

Cite this

Bauer, J., Boneva, I. B., Kurban, M. E., & Rensink, A. (2008). A Modal-Logic Based Graph Abstraction. In H. Ehrig, R. Heckel, G. Rozenberg, & G. Taentzer (Eds.), International Conference on Graph Transformations (ICGT) (pp. 321-335). [10.1007/978-3-540-87405-8_22] (Lecture Notes in Computer Science; Vol. 5214, No. Supplement). Springer. https://doi.org/10.1007/978-3-540-87405-8_22

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Bauer, J, Boneva, IB, Kurban, ME & Rensink, A 2008, A Modal-Logic Based Graph Abstraction. in H Ehrig, R Heckel, G Rozenberg & G Taentzer (eds), International Conference on Graph Transformations (ICGT)., 10.1007/978-3-540-87405-8_22, Lecture Notes in Computer Science, no. Supplement, vol. 5214, Springer, Berlin, pp. 321-335. https://doi.org/10.1007/978-3-540-87405-8_22

A Modal-Logic Based Graph Abstraction. / Bauer, J.; Boneva, I.B.; Kurban, M.E.; Rensink, Arend.

International Conference on Graph Transformations (ICGT). ed. / H Ehrig; R. Heckel; G. Rozenberg; G. Taentzer. Berlin : Springer, 2008. p. 321-335 10.1007/978-3-540-87405-8_22 (Lecture Notes in Computer Science; Vol. 5214, No. Supplement).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

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